多种形式不确定偏好信息下考虑后悔行为的双边匹配方法
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摘要
针对具有多种形式不确定偏好信息的双边匹配问题,考虑匹配主体后悔规避的心理行为,提出了一种基于后悔理论的双边匹配方法。首先,将双边主体给出的不确定偏好序和不确定语言偏好信息转化为效用值。然后,依据后悔理论,计算每个主体的后悔值,获得每个主体的感知效用。在此基础上,建立双边匹配模型。最后,通过云制造服务外包匹配问题的案例证明了双边匹配方法的合理性。
A two-sided matching method considering regret aversion psychological behavior of agents is proposed to solve the two-sided matching problems with multi-form uncertain preference information based on the regret theory.Firstly,this paper renders uncertain preference ordinal and uncertain linguistic information of two group agents into utility values.Secondly,the regret values are calculated of agents based on regret theory,then the perception utility values of each agent is gained.Furthermore,the two-sided matching model is constructed.Finally,an example of cloud manufacturing service outsourcing matching problem is given to demonstrate the effectiveness of the two-sided matching method.
A two-sided matching method considering regret aversion psychological behavior of agents is proposed to solve the two-sided matching problems with multi-form uncertain preference information based on the regret theory.Firstly,this paper renders uncertain preference ordinal and uncertain linguistic information of two group agents into utility values.Secondly,the regret values are calculated of agents based on regret theory,then the perception utility values of each agent is gained.Furthermore,the two-sided matching model is constructed.Finally,an example of cloud manufacturing service outsourcing matching problem is given to demonstrate the effectiveness of the two-sided matching method.
引文
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[18]乐琦,张磊,张莉莉.不确定偏好序信息下考虑主体心理行为的双边匹配决策方法[J].运筹与管理,2015,24(2):113-120.YUE Q,ZHANG L,ZHANG L L.Decision method for two-sided matching considering agents'psychological behavior with uncertain preference ordinal information[J].Operations Research and Management Science,2015,24(2):113-120.
[19]FAN Z P,LI M Y,ZHANG X.Satisfied two-sided matching:a method considering elation and disappointment of agents[J].Soft Computing,2017,15(1):1-15.
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[22]XU Z S.Uncertain linguistic aggregation operators based approach to multiple attribute group decision making under uncertain lingui-stic environment[J].Information Science,2004,168(1/4):171-184.
[23]ZIMMERMANN H J.Fuzzy programming and linear programming with several objective functions[J].Fuzzy Sets&Systems,1978,1(1):45-55.
[24]吴晓晓,石胜友,侯俊杰,等.航天云制造服务应用模式研究[J].计算机集成制造系统,2012,18(7):1596-1603.WU X X,SHI S Y,HOU J J,et al.Aerospace cloud manufacturing service application model[J].Computer Integrated Manufacturing Systems,2012,18(7):1595-1603.
[2]AZEVEDO E M.Imperfect competition in two-sided matching markets[J].Games&Economic Behavior,2014,83(1):207-223.
[3]陈晔,曹帅,卢波,等.考虑个性化指标的双边匹配决策方法[J].系统工程与电子技术,2016,38(9):2109-2114.CHEN Y,CAO S,LU B,et al.Two-sided matching decision making consider persona-lized criteria setting[J].Systems Engineering and Electronics,2016,38(9):2109-2114.
[4]CHEN J,SONG K.Two-sided matching in the loan market[J].International Journal of Industrial Organization,2013,31(2):145-152.
[5]SRENSEN M.How smart is smart money?A two-sided matching model of venture capital[J].The Journal of Finance,2007,62(6):2725-2762.
[6]CHEN X,LI Z,FAN Z P,et al.Matching demanders and suppliers in knowledge service:a method based on fuzzy axiomatic design[J].Information Sciences,2016(S346/347):130-145.
[7]JIANG Z Z,FAN Z P,IP W H,et al.Fuzzy multi-objective model and optimization for one-shot multi-attribute exchanges with indivisible demand[J].IEEE Trans.on Fuzzy Systems,2016,24(3):708-723.
[8]ROTH A E.Common and conflicting interests in two-sided matching markets[J].European Economic Review,1985,27(1):75-96.
[9]VATE J H V.Linear programming brings marital bliss[J].Operations Research Letters,1989,8(3):147-153.
[10]ERDIL A,ERGIN H.Two-sided matching with indifferences[J].Journal of Economic Theory,2017,171:268-292.
[11]梁海明,姜艳萍.一种基于弱偏好序信息的双边匹配决策方法[J].系统工程学报,2014,29(2):153-159.LIANG H M,JIANG Y P.Method for two-sided matching decision making based on the weak preference ordering information[J].Journal of Systems Engineering,2014,29(2):153-159.
[12]姜艳萍,孔德才,袁铎宁.具有序区间偏好信息的双边稳定匹配决策方法[J].系统工程理论与实践,2017,37(8):2152-2161.JIANG Y P,KONG D C,YUAN D N.Two-sided stable matching decision-making method with ordinal interval preference[J].Systems Engineering-Theory&Practice,2017,37(8):2152-2161.
[13]乐琦,樊治平.基于不完全序值信息的双边匹配决策方法[J].管理科学学报,2015,18(2):23-35.YUE Q,FAN Z P.Decision method for two-sided matching based on incomplete ordinal number information[J].Journal of Management Sciences in China,2015,18(2):23-35.
[14]乐琦.基于两粒度语言评价信息的双边匹配决策[J].运筹与管理,2016,25(1):100-104.YUE Q.Two-sided matching decision with two-granularity linguistic evaluation infor-mation[J].Operations Research&Management Science,2016,25(1):100-104.
[15]YUE Q,PENG Y S,YUE B W,et al.Two-sided matching decision under multi-granularity uncertain linguistic environment[J].Advanced Science and Technology Letters,2015,111(8):35-41.
[16]YUE Q.Two-sided matching decision with two-granularity uncertain and incomplete linguistic terms[J].International Journal of Multimedia&Ubiquitous Engineering,2015,10(2):121-128.
[17]乐琦.基于累积前景理论的具有不确定偏好序信息的双边匹配决策方法[J].系统科学与数学,2013,33(9):1061-1070.YUE Q.A decision method for the two-sided matching with uncertain preference ordinal information based on cumulative prospect theory[J].Journal of Systems Science&Mathematical Sciences,2013,33(9):1061-1070.
[18]乐琦,张磊,张莉莉.不确定偏好序信息下考虑主体心理行为的双边匹配决策方法[J].运筹与管理,2015,24(2):113-120.YUE Q,ZHANG L,ZHANG L L.Decision method for two-sided matching considering agents'psychological behavior with uncertain preference ordinal information[J].Operations Research and Management Science,2015,24(2):113-120.
[19]FAN Z P,LI M Y,ZHANG X.Satisfied two-sided matching:a method considering elation and disappointment of agents[J].Soft Computing,2017,15(1):1-15.
[20]BELL D E.Regret in decision making under uncertainty[J].Operations Research,1982,30(5):961-981.
[21]LOOMES G,SUGDEN R.Regret theory:an alternative theory of rational choice under uncertainty[J].Economic Journal,1982,92(368):805-824.
[22]XU Z S.Uncertain linguistic aggregation operators based approach to multiple attribute group decision making under uncertain lingui-stic environment[J].Information Science,2004,168(1/4):171-184.
[23]ZIMMERMANN H J.Fuzzy programming and linear programming with several objective functions[J].Fuzzy Sets&Systems,1978,1(1):45-55.
[24]吴晓晓,石胜友,侯俊杰,等.航天云制造服务应用模式研究[J].计算机集成制造系统,2012,18(7):1596-1603.WU X X,SHI S Y,HOU J J,et al.Aerospace cloud manufacturing service application model[J].Computer Integrated Manufacturing Systems,2012,18(7):1595-1603.